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Finding the Third Proportional to 75,440 and 165,388

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Solution

The third proportional to 75,440 and 165,388 is: 362,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,440 : 165,388 = 165,388 : x
  2. Step 2: Convert to fraction form
    75,440/165,388 = 165,388/x
  3. Step 3: Cross multiply
    75,440x = 165,388 × 165,388
  4. Step 4: Simplify right side
    75,440x = 27,353,190,544
  5. Step 5: Solve for x
    x = 27,353,190,544/75,440
  6. Step 6: Final answer
    x = 362,582.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.